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16 May, 05:18

A 500-turn circular coil with an area of 0.050 m^2 is mounted on a rotating frame, which turns at a rate of 20.0 rad/s in the presence of a 0.050-T uniform magnetic field that is perpendicular to the axis of rotation. What is the instantaneous emf in the coil at the moment that the normal to its plane is at a 30.0 degree angle to the field?

a) zero

b) 12.5 V

c) 21.6 V

d) 25.0 V

+2
Answers (1)
  1. 16 May, 07:19
    0
    option (b) 12.5 V

    Step-by-step explanation:

    Given:

    Number of turns, N = 500

    Area of the coil, A = 0.050 m²

    Angular speed, ω = 20 rad/s

    Magnetic field, B = 0.050 T

    Angle to the field, θ = 30°

    Now,

    EMF induced, ε = NBAωsinθ

    on substituting the values, we get

    ε = 500 * 0.050 * 0.050 * 20 * sin30°

    or

    ε = 25 * 0.5

    or

    ε = 12.5 V

    Hence,

    option (b) 12.5 V
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